Question

The distribution of actual weights of wedges of cheddar cheese produced at a dairy is normal with a mean of 10.0 ounces and a standard deviation of 0.15 ounces. (Round to 2 decimal places for all z-values and round all other answers to 4 decimal places, if needed.) (a) The probability that a randomly chosen wedge of cheddar cheese is greater than 9.97 is (b) If a sample of 15 is randomly chosen, then the distribution of the sample mean weight is with a mean of and a standard deviation of (c) The probability that the sample mean weight of this sample of 15 is less than 9.97 is (d) The probability that the sample mean weight of this sample of 15 is greater than 9.97 is (e) The probability that the sample mean weight of this sample of 15 is between 9.97 and 10.05 is (f) There is only a 5% chance that the average weight of a sample of these 15 cheese wedges will be below

Answer 1

The random variable X represents the weight of each bag of candies selected.

Step-by-step explanation:

The random variable X represents the weight of each bag of candies selected.

1. i. X = weight of each bag of candies
2. ii. 0 = the mean weight of the bags of candies, which is given
3. iii. Sx = the standard deviation of the sample mean weight, which is the population standard deviation divided by the square root of the sample size

Therefore, the random variable X represents the weight of each bag of candies.